Do NOT!!!! tell them you are israeli. the only real eitzah is to lie when you go dor your visa and change your arents names and where they were born. otherwise, theyll mkae you a citizen AND make you pay backtaxes since you were born. ive seen it. do not tell anyone in any official capacity that you are the child of a natural israeli. simple.
No, it’s not simple. The Israeli’s have these electronic devices called “computers,” and the computers are linked on a thing called a “network.” The information needed is all there on the screen. They may not catch you when you go through Ben Gurion, but if the authorities do catch on to what you are trying to pull, they will arrest you, even if you’re at school.
The American embassy will not be able to do anything to help, because at that point you are already identified as an Israeli citizen; once you are in Israel, Israeli law takes precedence over American law.
What I would strongly suggest is that you contact either the closest Israeli consulate to where you live now, or contact the embassy in Washington. The only problem you may have doing that now is that many of the Israeli diplomatic workers are on strike, and they are not processing any visas right now.
Good luck.